On the generalization of Gurland distribution
Yashwant Singh
TL;DR
This paper introduces a generalized Gurland distribution as a beta mixture of the generalized Poisson distribution, providing new moments and recurrence relations to expand its applicability.
Contribution
It presents a novel generalization of the Gurland distribution using a beta mixture of the generalized Poisson distribution, enhancing its scope.
Findings
Derived the first two moments of the new distribution
Established a recurrence relation among probabilities
Claimed increased generality and scope of the distribution
Abstract
In the present paper a generalization of Gurland distribution [3] is obtained as a beta mixture of the generalized Poisson distribution (GPD) of Consul and Jain [2]. The first two moments of the distribution and a recurrence relation among probabilities are obtained. The present distribution is supposed to be more general in nature and wider in scope.
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Taxonomy
TopicsStatistical Distribution Estimation and Applications · Bayesian Methods and Mixture Models · Mathematical functions and polynomials